Beurling-Type Theorem for a Class of Reproducing Kernel Hilbert Spaces

Author:

Wang Zhi-jie1ORCID,Xiao Jie-sheng2,Xu Xian-min1

Affiliation:

1. College of Data Science, Jiaxing University, Jiaxing, Zhejiang 314001, China

2. School of Information Engineering, Jiaxing Nanhu University, Jiaxing, Zhejiang 314001, China

Abstract

In this paper, it is proved that the Beurling-type theorem holds for the shift operator on a class of reproducing analytic Hilbert spaces.

Publisher

Hindawi Limited

Subject

General Mathematics

Reference14 articles.

1. On two problems concerning linear transformations in hilbert space

2. An invariant subspace of the Bergman space having the codimension two property;H. Hedenmalm;Journal fur die Reine und Angewandte Mathematik,1993

3. Beurling's Theorem for the Bergman space

4. Theory of Bergman Spaces

5. Wandering subspaces and the Beurling type Theorem I

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